Here in this post, you will know how to convert ratio to percentage.Remember changing any given number to percentage had to do with 100% through multiplication when you have 2 , 4 , 5 ,10 , 25,and 20 as denominator (bottom number.A given ratio can be converted to a percentage. 3 : 4 , 1 : 4, 6 : 8 , 12 : 24 also reduction of numbers to the lowest ten and more.
In mathematics a : b means
a
---------
b
Examples like:
Change the following ratios to percentages.
a. 3:4
b.12 : 30
c.105mm : 1 m
d. 52 seconds : 3 minutes
Solution
= 3 x 25%
= 75%
b.12 : 30
lets reduce 12 and 30 to the lowest term and the common divisor is 6.
12
= -------------
30
2 100
= ------------ x ---------- %
5 1
200
--------------- ( the common divisor is 5 )
5
= 40%
c.105mm : 1 m
105
= ---------------- ( 1m = 1000mm )
1000
105 100
= ------------- x ---------%
1000 1
= 10 . 5%
d. 52 seconds : 3 minutes
52
= ----------( 60 x 3 = 180 , 60 make one minute)
180
52 100
------------ x ----------%
180 1
260 8
----------------- = 28 ---------%
9 9
That is how to change from ratio to percentage, remember we multiply its by 100.
Note
Change the following percentages to ratios
In this one, we will change back percentages to fractions.We possibly believe that any given percentage can be converted to ratio. Something like this:
tips:
Change the following percentages to ratio
i.14%
1
ii. 12 ----------%
4
iii. 68%
iv. 34.5%
Solution
i.14%
14
= ----------- %
100
7
= ---------- (the common divisor is 2)
50
= 7 : 50 ( in ratio form )
1
ii. 12 ----------%
4
( 12 x 4 )+ 1 48 + 1 49
-------------------- = -------------- = --------- x 100
4 4 4
49
------------- = 49 : 400
400
iii. 68%
48 24 12
----------- = -------- = ---------
100 50 25
= 12 : 25
iv. 34.5%
345
= ------------- ( in tenth 34.5 x 10 = 345 also 100 x 10 )(divided by 5 )
1000
69
-----------
200
= 69 : 200
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